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Finding the Third Proportional to 649,257,216 and 1,321,189,176

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Solution

The third proportional to 649,257,216 and 1,321,189,176 is: 2,688,519,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,257,216 : 1,321,189,176 = 1,321,189,176 : x
  2. Step 2: Convert to fraction form
    649,257,216/1,321,189,176 = 1,321,189,176/x
  3. Step 3: Cross multiply
    649,257,216x = 1,321,189,176 × 1,321,189,176
  4. Step 4: Simplify right side
    649,257,216x = 1,745,540,838,779,558,912
  5. Step 5: Solve for x
    x = 1,745,540,838,779,558,912/649,257,216
  6. Step 6: Final answer
    x = 2,688,519,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.